Question

A 4.5 cm long needle is placed 12 cm from a convex mirror of focal length 15 cm. find the location and the length of the image of the needle. What happens when the needle is moved farther from the mirror 

Solution

Correct option is

Its image moves farther behind the mirror.

 

In usual motion, we have 

                            

The distance v of the image from the mirror is given by   

                            

                   

                                 

Since v comes out positive the image is formed behind the mirror

If y1 and y2 be the lengths of the object and the image respectively, then, the magnification is  

                

Since the magnification is positive, the image is virtual (erect). The length of the image is  

                

When the needle is moved farther from the mirror, its images moves farther behind the mirror towards the focus and its size goes on decreasing. When the needle is far off. Its almost point image is formed at the focus of the mirror. 

SIMILAR QUESTIONS

Q1

The resolution limit of the eye is 1 minute. At a distance x km from the eye, two persons stand with a lateral separation of 3 metre. For the two persons to be just resolved by the naked eye, x should be:

Q2

The minimum light intensity that can be perceived by the eye is about 10–10 watt per metre2. The number of photons of wavelength  metre that must enter the pupil of area 10–4 m2 per sec for vision is approximately equal to:    

Q3

An observer looks at a tree of height 15 metres with a telescope of magnifying power 10. To him the tree appears:  

Q4

The distance between the eye lens and cross-wires in Ramsden’s eye-piece which has a field lens of focal length 1.2 cm is:

Q5

If an astronomical telescope has objective and eye-piece of focal lengths 200 cm and 4 cm respectively, then the magnifying power of the telescope for the normal vision is:    

Q6

A plane mirror which rotates 104 times per minute reflects light on to a stationary mirror 50 m away. This mirror reflects the light normally so that it strikes the rotating mirror again. The image observed in the rotating mirror is shifted through 2.4 minutes from the position it occupies. When the rotating mirror is stationary, what is the speed of light? 

Q7

A source of light lies on the angle bisector of two plane mirrors inclined at an angle θ, so that the light reflected from one mirror does not each other mirror will be 

Q8

A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that the end closer to the pole is 20 cm away from it. Find the length of the image

                                                        

Q9

Two objects A and B, when placed in turn in front of a concave mirror of focal length 7.5 cm give images of equal size. If A is two times the size ofB and is placed at a distance of 15cm from the mirror, find the distance ofB from the mirror

Q10

A square wire of side 3.0 cm is placed 25 cm away from a concave mirror of focal length 10 cm. What is the area enclosed by the image of the wire? The centre of the wire is on the axis of the mirror, with its two sides normal to the axis.